Abstract
In this chapter, geometrically nonlinear FE models, including RVK5, MRT5, LRT5 and LRT56, are validated by static analysis of composite laminated thin-walled structures. Later, the geometrically nonlinear FE models are test by buckling and post-buckling analysis of cylindrical composite panels. Afterwards, the geometrically nonlinear FE models are implemented into static and dynamic analysis of piezolaminated beam, plate and shell structures. In the last part, the simulations of nonlinear phenomena including both geometrically and electroelastic materially nonlinear effects are performed through piezo structures undergoing large displacement and under strong electric field.
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References
C.T. Sun, H. Chin, Analysis of asymmetric composite laminates. AIAA J. 26, 714–718 (1988)
J.N. Reddy, On refined computational models of composite laminates. Int. J. Numer. Methods Eng. 27, 361–382 (1989)
Y. Basar, Y. Ding, R. Schultz, Refined shear-deformation models for composite laminates with finite rotations. Int. J. Solids Struct. 30, 2611–2638 (1993)
I. Kreja, R. Schmidt, Large rotations in first-order shear deformation FE analysis of laminated shells. Int. J. Non-Linear Mech. 41, 101–123 (2006)
S.Q. Zhang, R. Schmidt, Large rotation theory for static analysis of composite and piezoelectric laminated thin-walled structures. Thin-Walled Struct. 78, 16–25 (2014)
S.Q. Zhang, R. Schmidt, Static and dynamic FE analysis of piezoelectric integrated thin-walled composite structures with large rotations. Compos. Struct. 112, 345–357 (2014)
N. Stander, A. Matzenmiller, E. Ramm, An assessment of assumed strain methods in finite rotation shell analysis. Eng. Comput. 6, 58–66 (1989)
A.F. Saleeb, T.Y. Chang, W. Graf, S. Yingyeunyong, A hybrid/mixed model for non-linear shell analysis and its applications to large-rotation problems. Int. J. Numer. Methods Eng. 29, 407–446 (1990)
C. Sansour, H. Bufler, An exact finite rotation shell theory, its mixed variational formulation and its finite element implementation. Int. J. Numer. Methods Eng. 34, 73–115 (1992)
L. Jiang, M.W. Chernuka, A simple four-noded corotational shell element for arbitrarily large rotations. Comput. Struct. 53, 1123–1132 (1994)
A. Masud, C.L. Tham, W.K. Liu, A stabilized 3-D co-rotational formulation for geometrically nonlinear analysis of multi-layered composite shells. Comput. Mech. 26, 1–12 (2000)
K.Y. Sze, X.H. Liu, S.H. Lo, Popular benchmark problems for geometric nonlinear analysis of shells. Finite Elem. Anal. Des. 40, 1551–1569 (2004)
R.A. Arciniega, J.N. Reddy, Tensor-based finite element formulation for geometrically nonlinear analysis of shell structures. Comput. Methods Appl. Mech. Eng. 196, 1048–1073 (2007)
S. Saigal, R.K. Kapania, T.Y. Yang, Geometrically nonlinear finite element analysis of imperfect laminated shells. J. Compos. Mater. 20, 197–214 (1986)
G. Laschet, J.P. Jeusette, Postbuckling finite element analysis of composite panels. Compos. Struct. 14, 35–48 (1990)
B. Brank, D. Perić, B. Damjanić, On implementation of a nonlinear four node shell finite element for thin multilayered elastic shells. Comput. Mech. 16, 341–359 (1995)
S. Yi, S.F. Ling, M. Ying, Large deformation finite element analyses of composite structures integrated with piezoelectric sensors and actuators. Finite Elem. Anal. Des. 35, 1–15 (2000)
S. Lentzen, R. Schmidt, A geometrically nonlinear finite element for transient analysis of piezolaminated shells, in Proceedings Fifth EUROMECH Nonlinear Dynamics Conference (Eindhoven, Netherlands, 7–12 August 2005), pp. 2492–2500
S.Q. Zhang, R. Schmidt, Large rotation FE transient analysis of piezolaminated thin-walled smart structures. Smart Mater. Struct. 22, 105025 (2013)
H.S. Tzou, R. Ye, Analysis of piezoelastic structures with laminated piezoelectric triangle shell elements. AIAA J. 34, 110–115 (1996)
K.Y. Sze, L.Q. Yao, Modeling smart structures with segmented piezoelectric sensors and actuators. J. Sound Vib. 235, 495–520 (2000)
Q.M. Wang, Q. Zhang, B. Xu, R. Liu, L.E. Cross, Nonlinear piezoelectric behavior of ceramic bending mode actuators under strong electric fields. J. Appl. Phys. 86(6), 3352–3360 (1999)
S.Q. Zhang, G.Z. Zhao, S.Y. Zhang, R. Schmidt, X.S. Qin, Geometrically nonlinear FE analysis of piezoelectric laminated composite structures under strong driving electric field. Compos. Struct. 181, 112–120 (2017)
S. Kapuria, M.Y. Yasin, A nonlinear efficient layerwise finite element model for smart piezolaminated composites under strong applied electric field, in Smart Materials and Structures (2013)
L.Q. Yao, J.G. Zhang, L. Lu, M.O. Lai, Nonlinear extension and bending of piezoelectric laminated plate under large applied field actuation. Smart Mater. Struct. 13, 404–414 (2004)
S.Q. Zhang, Z.X. Wang, X.S. Qin, G.Z. Zhao, R. Schmidt, Geometrically nonlinear analysis of composite laminated structures with multiple macro-fiber composite (MFC) actuators. Compos. Struct. 150, 62–72 (2016)
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Zhang, SQ. (2021). Nonlinear Analysis of Piezoceramic Laminated Structures. In: Nonlinear Analysis of Thin-Walled Smart Structures. Springer Tracts in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-9857-9_6
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DOI: https://doi.org/10.1007/978-981-15-9857-9_6
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